CONSTRUCTION OF SIMPLIFICATION CONDITIONS TO RUNGE-KUTTA METHODS

[1]Sebastião Pereira MARTINS

§    ABSTRACT: In this article we propose a way to construct simplification conditions wich substitute, with advantage, the ordem conditions of the Runge-Kutta methods. The technique is illustrated for the explicit methods of order five with six stages.

§    KEYWORDS: Order conditions; simplification conditions; Runge-Kutta methods; ordinary differential equations

 



[1] Departamento de Ciências da Computação e Estatística - Instituto de Biociências, Letras e Ciências Exatas - UNESP - 15054-000 São José do Rio Preto – SP.